Table 1 Errors and computational orders of compact difference scheme for W

\(\frac{1}{10}\)

\(\frac{1}{{10}^{2}}\)

2.408e−03

–

1.204e−03

–

\(\frac{1}{20}\)

\(\frac{1}{{20}^{2}}\)

1.215e−04

4.31

6.076e−05

4.31

\(\frac{1}{30}\)

\(\frac{1}{{30}^{2}}\)

2.192e−05

4.22

1.096e−05

4.22

\(\frac{1}{40}\)

\(\frac{1}{{40}^{2}} \)

6.618e−06

4.16

3.309e−06

4.16

\(\frac{1}{50}\)

\(\frac{1}{{50}^{2}}\)

2.634e−06

4.13

1.317e−06

4.13

\(\frac{1}{60}\)

\(\frac{1}{{60}^{2}}\)

1.246e−06

4.11

6.230e−07

4.11